Answer

Verified

413.4k+ views

**Hint:**The term logically equivalent is the mathematical statement that can be used in place of other mathematical sentences. Here the above statement is in ‘if and then' type and we can convert it in other forms like contrapositive and converse. An example of a contrapositive statement is:- a number is divisible by 9 , then it is divisible by 3, so its contrapositive statement is; if a number is not divisible by 3 , it is not divisible by 9.

**Complete step by step solution:**

Let's break the statement into two parts- first one is A and second one is B.

A: \[{2^2} = 5\]

B: I get 1st class

Here is the mathematical representation of above if and then statement

\[(A \to B)\] And

Contrapositive statement of it is \[(B \to A)\]

If I do not get first class, then \[{2^2} \ne 5\]

\[{2^2} \ne 5\] or I get first class.

Hence option (C) is correct.

**Note:**A proposition or theorem by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem, and interchanging them “if not B then not A “is the contrapositive of “if A then B “. We apply this in the question above.

Recently Updated Pages

The base of a right prism is a pentagon whose sides class 10 maths CBSE

A die is thrown Find the probability that the number class 10 maths CBSE

A mans age is six times the age of his son In six years class 10 maths CBSE

A started a business with Rs 21000 and is joined afterwards class 10 maths CBSE

Aasifbhai bought a refrigerator at Rs 10000 After some class 10 maths CBSE

Give a brief history of the mathematician Pythagoras class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail